GCD of 478, 466, 920, 997 Calculator

Given Input numbers are 478, 466, 920, 997

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 478, 466, 920, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 466, 920, 997 is 1.

Therefore, GCD of numbers 478, 466, 920, 997 is 1

Given Input Data is 478, 466, 920, 997

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 478 is 2 x 239

Prime Factorization of 466 is 2 x 233

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 997 is 997

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(478, 466) = 111374

GCD(478, 466) = ( 478 x 466 ) / 111374

GCD(478, 466) = 222748 / 111374

GCD(478, 466) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 920

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

GCD(2, 920) = 1840 / 920

GCD(2, 920) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 997

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 997) = 1994

GCD(2, 997) = ( 2 x 997 ) / 1994

GCD(2, 997) = 1994 / 1994

GCD(2, 997) = 1

GCD of 478, 466, 920, 997 is 1

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1. What is the GCD of 478, 466, 920, 997?

GCD of 478, 466, 920, 997 is 1

2. Where do I get the detailed procedure to find GCD of 478, 466, 920, 997?

You can find a detailed procedure to find GCD of 478, 466, 920, 997 on our page.

3. How to find GCD of 478, 466, 920, 997 on a calculator?

You can find the GCD of 478, 466, 920, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.